Results 51 to 60 of about 7,273 (258)

A Suzuki type unique common fixed point theorem for two pairs of hybrid maps under a new condition in partial metric spaces

open access: yesDemonstratio Mathematica, 2016
In this paper, we introduce a new condition namely: condition (W.C.C.) and utilize the same to prove a Suzuki type unique common fixed point theorem for two hybrid pairs of mappings in partial metric spaces employing the partial Hausdorff metric which ...
Rao K. P. R., Rao K. R. K., Imdad M.
doaj   +1 more source

Extending pairs of metrics [PDF]

open access: yesМатематичні Студії, 2011
We consider the problem of extension of pairs of continuous and bounded, partial metrics which agree on the non-empty intersections of their domains which are closed and bounded subsets of an arbitrary but fixed metric space.
I. Z. Stasyuk, E. D. Tymchatyn
doaj  

Front Propagation Through a Perforated Wall

open access: yesCommunications on Pure and Applied Mathematics, EarlyView.
ABSTRACT We consider a bistable reaction– diffusion equation ut=Δu+f(u)$u_t=\Delta u +f(u)$ on RN${\mathbb {R}}^N$ in the presence of an obstacle K$K$, which is a wall of infinite span with many holes. More precisely, K$K$ is a closed subset of RN${\mathbb {R}}^N$ with smooth boundary such that its projection onto the x1$x_1$‐axis is bounded and that ...
Henri Berestycki   +2 more
wiley   +1 more source

Gromov--Hausdorff Convergence of Discrete Transportation Metrics [PDF]

open access: yesSIAM Journal on Mathematical Analysis, 2013
22 pages, to appear in SIAM J.
Gigli, Nicola, Mass, J.
openaire   +2 more sources

On the Hausdorff Dimension of CAT(κ) Surfaces

open access: yesAnalysis and Geometry in Metric Spaces, 2016
We prove that a closed surface with a CAT(κ) metric has Hausdorff dimension = 2, and that there are uniform upper and lower bounds on the two-dimensional Hausdorff measure of small metric balls.
Constantine David, Lafont Jean-François
doaj   +1 more source

On the continuity of partial actions of Hausdorff groups on metric spaces [PDF]

open access: yes, 2018
We provide a sufficient condition for a separately continuous partial action of a Hausdorff group on a metric space to be continuous.Proporcionamos condiciones suficientes para que una acción parcial separadamente continua de un grupo de Hausdorff en un ...
Gómez, Jorge   +2 more
core  

Selective Modification of the Product Profile of Biocatalytic Hydrolyzed PET via Product‐Specific Medium Engineering

open access: yesChemSusChem, Volume 18, Issue 6, March 15, 2025.
The product profile of enzymatically hydrolyzed PET can be modified by medium engineering and thereby adapted to a desired product. TPA, MHET or BHET can be forced as the predominant product using a basic pH (blue), 25 % ethylene glycol (EG) and IsPETasewt (green) or ≥25 % EG and LCCICCG (pink), respectively.
Tobias Heinks   +8 more
wiley   +1 more source

On Hausdorff intrinsic metric

open access: yes, 2020
In this paper we prove that in the set of all nonempty bounded closed subsets of a metric space (Χ, ρ) the Hausdorff metric is the Hausdorff intrinsic metric if and only if the metric p is an intrinsic metric.
Sosov E.
core  

Gromov–Hausdorff convergence of non-Archimedean fuzzy metric spaces [PDF]

open access: yes, 2015
We introduce the notion of the Gromov–Hausdorff fuzzy distance between two non-Archimedean fuzzy metric spaces (in the sense of Kramosil and Michalek). Basic properties involving convergence and the fuzzy version of the completeness theorem are presented.
Sanchis López, Manuel, Macario, Sergio
core   +1 more source

Development and External Validation of an Efficient Deep Learning Model for Lesion Segmentation and Subtyping of Hepatic Echinococcosis in Ultrasound Imaging

open access: yesHealth Care Science, EarlyView.
We developed a lightweight deep learning framework that integrates frequency‐ and spatial‐domain ultrasound features with segmentation‐assisted classification for hepatic echinococcosis diagnosis. The model outperformed existing state‐of‐the‐art methods in both accuracy and inference speed while requiring substantially fewer computational resources ...
Zhu He   +11 more
wiley   +1 more source

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